Question

Express each of the given ratio in its simplest form:

$\left(ix\right)1\frac{1}{3}:2\frac{1}{4}:2\frac{1}{2}$

Answer 1

Step: Express the ratio in simplest form:

We have:
$1\frac{1}{3}:2\frac{1}{4}:2\frac{1}{2}$

$=\frac{1\times 3+1}{3}:\frac{2\times 4+1}{4}:\frac{2\times 2+1}{2}$

$=\frac{4}{3}:\frac{9}{4}:\frac{5}{2}$

Here, the LCM of denominators $(3,4,2)$ is $12$, therefore, multiplying each fraction by $12$ we get,

$12\times \frac{4}{3}:12\times \frac{9}{4}:12\times \frac{5}{2}=16:27:30$

Hence, the simplest form of the given ratio is $16:27:30$